**Ever wonder about division?**

The number 10 can be divided by

It makes you wonder what the smallest number would be with … let's say … **23** divisors. With some programming
skill, knowledge of sieving and factorization techniques and some computer time you can find out. It's **4.194.304**.

Ever since
I used old punch card computers at my University too discover things like this, I've played around with numbers which can be divided
by lots of other numbers. They are called highly compound numbers and I like them. I've run scans looking for these numbers up to
the billions.

You can see a table of the first 28th of them at the left. You can hardly say there is a clear logical progression
... In the graph to the left these numbers are marked in blue. Red marks the smallest number with x divisors. Green marks the so called
Perfect Numbers. They are the sum of their own divisors.

To the right you can see the DIVISOR function that returns the number
of divisors for a given numbers. What do you think? Is there a pattern there?

**12, 60 and 360**

Some of them are quite well known.

360 is a strange number anyway. The smallest number with 360 divisors is ... **3.603.600**. How
about that!

**Order?**

Even though integer multiplication seems as simple as can be. Integer division generates the strangest rhythmsand exceptions in the natural numbers. Creating graphs with strange jumps and fractal like abilities just by trying to divide numbers by others and wanting a whole number as an answer!